Yes it does.
see;
https://docs.google.com/document/d/1NyhCpIQKShAbWGXicO_ph9whV_UyMS-3a7_re0C7R8Y/edit#heading=h.g1s8mzy7wor0 for a lengthy but very well done explanation on picking.
, short version, one opponent pick could have countered all 3 of yours.
Also, you expanded into a bonus with a 10. keep in mind that you can check history to avoid such silliness.